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Finding the Third Proportional to 19,202 and 39,773

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Solution

The third proportional to 19,202 and 39,773 is: 82,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,202 : 39,773 = 39,773 : x
  2. Step 2: Convert to fraction form
    19,202/39,773 = 39,773/x
  3. Step 3: Cross multiply
    19,202x = 39,773 × 39,773
  4. Step 4: Simplify right side
    19,202x = 1,581,891,529
  5. Step 5: Solve for x
    x = 1,581,891,529/19,202
  6. Step 6: Final answer
    x = 82,381.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.